Hermite radial basis collocation method for unsaturated soil water movement equation
type: Item
instance of: scholarly article
title: Hermite radial basis collocation method for unsaturated soil water movement equation
zbMATH Open document ID: 1427.74176
DOI: 10.1155/2018/8298915
author: Jiao Wang
author: Lijun Su
author: Xinqiang Qin
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Due to the nonlinear diffusion term, it is hard to use the collocation method to solve the unsaturated soil water movement equation directly. In this paper, a nonmesh Hermite collocation method with radial basis functions was proposed to solve the nonlinear unsaturated soil water movement equation with the Neumann boundary condition. By preprocessing the nonlinear diffusion term and using the Hermite radial basis function to deal with the Neumann boundary, the phenomenon that the collocation method cannot be used directly is avoided. The numerical results of unsaturated soil moisture movement with Neumann boundary conditions on the regular and nonregular regions show that the new method improved the accuracy significantly, which can be used to solve the low precision problem for the traditional collocation method when simulating the Neumann boundary condition problem. Moreover, the effectiveness and reliability of the algorithm are proved by the one-dimensional and two-dimensional engineering problem of soil water infiltration in arid area. It can be applied to engineering problems.
Mathematics Subject Classification ID: 74S25
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 7019585
describes a project that uses: HYDRUS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8298915
OpenAlex ID: W2795446574
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Wikidata QID: Q130038153
description: scientific article; zbMATH DE number 7019585